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Finding the Third Proportional to 145,916 and 301,942

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Solution

The third proportional to 145,916 and 301,942 is: 624,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,916 : 301,942 = 301,942 : x
  2. Step 2: Convert to fraction form
    145,916/301,942 = 301,942/x
  3. Step 3: Cross multiply
    145,916x = 301,942 × 301,942
  4. Step 4: Simplify right side
    145,916x = 91,168,971,364
  5. Step 5: Solve for x
    x = 91,168,971,364/145,916
  6. Step 6: Final answer
    x = 624,804.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.